3(4x+9)+5>7(8-x)

Solve the inequality:

3(4x + 9) + 5 > 7(8 − x)

Expand both sides: 12x + 27 + 5 > 56 − 7x 12x + 32 > 56 − 7x

Bring x terms to one side: 12x + 7x + 32 > 56 19x + 32 > 56

Subtract 32: 19x > 24

Divide by 19 (positive, so inequality direction stays): x > 24/19

Solution: x > 24/19 (approximately x > 1.263).